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Finding the Fourth Proportional to 5,578.76, 8,368.12 and 1,683.04

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Solution

The fourth proportional to 5,578.76, 8,368.12 and 1,683.04 is: 2,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.76 : 8,368.12 = 1,683.04 : x
  2. Step 2: Convert to fraction form
    5,578.76/8,368.12 = 1,683.04/x
  3. Step 3: Cross multiply
    5,578.76x = 8,368.12 × 1,683.04
  4. Step 4: Simplify right side
    5,578.76x = 14,083,880.68
  5. Step 5: Solve for x
    x = 14,083,880.68/5,578.76
  6. Step 6: Final answer
    x = 2,524.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.